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Simplifying 5x + 1 = 6(x + 4) Reorder the terms: 1 + 5x = 6(x + 4) Reorder the terms: 1 + 5x = 6(4 + x) 1 + 5x = (4 * 6 + x * 6) 1 + 5x = (24 + 6x) Solving 1 + 5x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 5x + -6x = 24 + 6x + -6x Combine like terms: 5x + -6x = -1x 1 + -1x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -1x = 24 + 0 1 + -1x = 24 Add '-1' to each side of the equation. 1 + -1 + -1x = 24 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 24 + -1 -1x = 24 + -1 Combine like terms: 24 + -1 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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